Computational Geometry

By Prof. Amit Kumar | IIT Delhi

Learners enrolled: 684

The course covers lessons in Introduction using Basic Visibility Problems , The Maximal Points Problem ,The Plane Sweep Technique and applications ,Convex Hull Different Paradigms and Quickhull , Dual Transformation and Applications , Lower Bounds on Algebraic tree model , Point Location and Triangulation , Voronoi Diagram and Delaunay Triangulation , Randomized Incremental Construction and Random Sampling ,Arrangements and Levels , Range Searching , Clustering Point Sets using Quadtrees and Applications , Epsilon-Nets VC Dimension and Applications , Shape Analysis and Shape Comparison .

INTENDED AUDIENCE : 4 th year undergraduate or beginning graduate students
PREREQUISITES : Data Structures and Algorithms
INDUSTRY SUPPORT : Nil

Summary

Course Status :	Ongoing
Course Type :	Elective
Duration :	12 weeks
Start Date :	18 Jan 2021
End Date :	09 Apr 2021
Exam Date :	24 Apr 2021 IST
Enrollment Ends :	01 Feb 2021
Category :	Computer Science and Engineering Foundations of Computing
Credit Points :	3
Level :	Undergraduate

Course layout

Week 1 : Introduction and Basic Problems

Week 2 : Plane Sweep Technique

Week 3 : Convex Hull and Algorithm

Week 4 : Duality Transform and Application

Week 5 : Lower Bound Techniques

Week 6 : Point Location and Triangulation

Week 7 : Voronoi Diagram and Delaunay Triangulation

Week 8 : Arrangements and Levels

Week 9 : Range Search

Week 10 : Clustering Point sets using Quadtrees and Applications

Week 11 : Epsilon-nets and VC Dimension

Week 12 : Shape Analysis

Books and references

Nil

Instructor bio

Prof. Amit Kumar

IIT Delhi

Amit Kumar is "Tarwinder and Jaswinder Chadha" Chair Professor in the Dept. of Computer Science and Engineering at IIT Delhi. He obtained B.Tech. degree from IIT Kanpur in 1997 and Ph.D. from Cornell University in 2002. He works in the area of combinatorial optimization, with emphasis on problems arising in scheduling, graph theory and clustering. He received IBM Faculty Award in 2005, INAE (Indian National Academy of Engineering) Young Engineer Award in 2006 and INSA (Indian National Science Academy) Medal for Young Scientists in 2011. He was a Max Planck-India partner group research fellow during 2005-09. He received the prestigious Shanti Swarup Bhatnagar Award for Mathematical Sciences in 2018, and was elected Fellow of Indian Academy of Sciences in 2019.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 24 April 2021 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

SWAYAM Helpline / Support